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10024022412 = 2232359775613
BaseRepresentation
bin10010101010111101…
…00111000110001100
3221212120222002200100
421111132213012030
5131012122204122
64334401331100
7503255533065
oct112536470614
927776862610
1010024022412
114284332448
121b39036a90
13c3997b711
146b141756c
153da055aac
hex2557a718c

10024022412 has 36 divisors (see below), whose sum is σ = 25409114640. Its totient is φ = 3332029152.

The previous prime is 10024022399. The next prime is 10024022417. The reversal of 10024022412 is 21422042001.

10024022412 is a `hidden beast` number, since 10 + 0 + 240 + 2 + 2 + 412 = 666.

10024022412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×100240224123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10024022417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374883 + ... + 400730.

It is an arithmetic number, because the mean of its divisors is an integer number (705808740).

Almost surely, 210024022412 is an apocalyptic number.

10024022412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024022412 is an abundant number, since it is smaller than the sum of its proper divisors (15385092228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10024022412 is a wasteful number, since it uses less digits than its factorization.

10024022412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775982 (or 775977 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10024022412 its reverse (21422042001), we get a palindrome (31446064413).

The spelling of 10024022412 in words is "ten billion, twenty-four million, twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 359 718 1077 1436 2154 3231 4308 6462 12924 775613 1551226 2326839 3102452 4653678 6980517 9307356 13961034 27922068 278445067 556890134 835335201 1113780268 1670670402 2506005603 3341340804 5012011206 10024022412